How do I find the area of a triangle that has one right angle, one side that =6m and one side =10m ?

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How do I find the area of a triangle that has one right angle, one side that =6m and one side =10m ?

Posted 241 day ago

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Answers (7)

jayteacher

The area of any triangle A = (1/2)bh, where b is the base and h is the height.

Let b = 6m and h = 10m, then A = (1/2)(6m)(10m) = 30 sq. m. (square meters)

Posted 229 day ago

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asad.taj

The question should be asked in terms of the height, base and hypotenuse.
Formula for area of triangle is Area= 1/2*base*height
There are two possibilities
1. If base= 6 and height=10 then the area will be 1/2*6*10 = 30
2. If the base= 6 and hypotenuse=10 then we have to calculate the base by Pythagorean theorem which is
hypotenuse² = base²+height²
i.e. 10²=6²+height²
height²= 100 -36
= 64
height = 8
Now the Area = 1/2*6*8 =24

NOTE: In 2nd case base can also be taken as height.

Posted 230 day ago

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a right angle triangle that has a leg of 6m and a hypotenuse of 10m must have a longer leg of 8m. because 6^2 + 8^2 = 10^2. So, its area will be
(8X6)/2 = 24.<--- This is the answer.

Posted 231 day ago

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Doctor Bob

To answer a related question at this post, it doesn't matter which leg is which since bh means
base times height. The commutative property of multiplication states that THE ORDER DOESN'T MATTER (in addition also). And so, BH is the same thing as HB. So it doesn't matter which leg is which.
Be careful, however, not to confuse the hypotenuse with either of the legs as IT DOES MATTER which one is the hypotenuse for Pythagorean Theorem purposes (a^2 + b^2 = c^2) where C is always the hypotenuse (the side opposite the right angle) and it really doesn't matter which leg is A and which leg is B because of the commutative property of addition (the order doesn't matter).

Posted 236 day ago

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TonTon

The area of a triangle is equal to 1/2(base*height)
But which side is which

Posted 236 day ago

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Doctor Bob

Note that with a RIGHT triange, either of the LEGS immediately gives you the height.
And so:
A = 1/2 bh
A= 1/2 (6 * 10) = 30 m^2

You probably already know that the reason for the 1/2 is that you can diagonally cut a rectangle into two triangles.

The answer unit is in m^2 (m-squared) because m * m = m^1 * m^1 = m^2. When multiplying like bases (m), one ADDS the exponents and each m has an invisible exponent of 1.

Lots of mathematics in a single problem, eh?

Posted 237 day ago

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Area = 1/2 * base * height for any triangle.

For a right triangle, one side is the base, the second side is the height, (the hypotenuse is the third side).

So the area = 1/2 * 6m * 10m
= 30 square meters

Answer Area = 30 square meters

square meters is normally written as m with a superscript 2

Posted 240 day ago

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